313998982394880 has 704 divisors, whose sum is σ = 1032996203965440. Its totient is φ = 81362460082176.

The previous prime is 313998982394857. The next prime is 313998982394893. The reversal of 313998982394880 is 88493289899313.

It is a super-5 number, since 5×313998982394880⁵ (a number of 74 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313998982394793 and 313998982394802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121752221431 + ... + 121752224009.

It is an arithmetic number, because the mean of its divisors is an integer number (1467324153360).

Almost surely, 2^{313998982394880} is an apocalyptic number.

313998982394880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313998982394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516498101982720).

313998982394880 is an abundant number, since it is smaller than the sum of its proper divisors (718997221570560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313998982394880 is a wasteful number, since it uses less digits than its factorization.

313998982394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 5804752896, while the sum is 84.

The spelling of 313998982394880 in words is "three hundred thirteen trillion, nine hundred ninety-eight billion, nine hundred eighty-two million, three hundred ninety-four thousand, eight hundred eighty".